One could wonder, if the Neutrino can 'change it's mass' on its own, whether the particle itself would be bound to that mass relatively.
When a neutrino changes "flavor" or "color" it is in a transition state and therefore can be any mass. At the midpoint it is 0 mass and travels at speed c. When it becomes one or the other it has mass. In between it can have any mass, meaning even 0 mass. It's the same as Schrodingers cat. It works and is non-contradictory.